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Solution 8.1a

From Mechanics

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Current revision (12:16, 27 March 2011) (edit) (undo)
 
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Substituting these into the equation
Substituting these into the equation
<math>\mathbf{v}=\mathbf{u}+\mathbf{a}t \ \</math>
<math>\mathbf{v}=\mathbf{u}+\mathbf{a}t \ \</math>
-
gives the velocity of the ball at time <math>t=10 \text{ s }</math> as:
+
gives the velocity of the jet-ski at time <math>t=10 \text{ s }</math> as:
<math>\mathbf{v}=4\mathbf{i}+(0\textrm{.}9\mathbf{i}+0\textrm{.}7\mathbf{j})\times 10</math>
<math>\mathbf{v}=4\mathbf{i}+(0\textrm{.}9\mathbf{i}+0\textrm{.}7\mathbf{j})\times 10</math>
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which gives
which gives
-
<math>\mathbf{v}=13\mathbf{i}+9\mathbf{j} \ \text{ m}{{\text{s}}^{\text{-1}}}</math>
+
<math>\mathbf{v}=13\mathbf{i}+7\mathbf{j} \ \text{ m}{{\text{s}}^{\text{-1}}}</math>

Current revision

In this case we have u=4i and a=0.9i+0.7j

Substituting these into the equation v=u+at   gives the velocity of the jet-ski at time t=10 s as:

v=4i+(0.9i+0.7j)10

which gives

v=13i+7j  ms-1